On The Solvability Of Some Diophantine Equations Of The Form ax+by = z2
The Diophantine equation ax+py = z2 where p is prime is widely studied by many mathematicians. Solving equations of this type often include Catalan’s conjecture in the process of proving these equations. Here, we study the non-negative integer solutions for some Diophantine equations of such fami...
| Main Author: | Elshahed, Amr Moustafa Mohamed Aly Elsayed |
|---|---|
| Format: | Thesis |
| Language: | English |
| Published: |
2022
|
| Subjects: | |
| Online Access: | http://eprints.usm.my/59441/ http://eprints.usm.my/59441/1/AMR%20MOUSTAFA%20MOHAMED%20ALY%20ELSAYED%20ELSHAHED%20-%20TESIS%20cut.pdf |
Similar Items
Solvability criteria for cubic equations over Z2
by: Saburov, Mansoor, et al.
Published: (2014)
by: Saburov, Mansoor, et al.
Published: (2014)
Solvability criteria for cubic equations over Z_2^*
by: Saburov, Mansoor, et al.
Published: (2013)
by: Saburov, Mansoor, et al.
Published: (2013)
On the diophantine equation p ͯ +qᵐnᵞ = z²
by: Bakar, Halimatun Saadiah
Published: (2018)
by: Bakar, Halimatun Saadiah
Published: (2018)
On the diophantine equation Px + Qy = z²
by: Japar, Izzati Izyani, et al.
Published: (2024)
by: Japar, Izzati Izyani, et al.
Published: (2024)
Bound on some Diophantine equation
by: Amalulhair, N. H., et al.
Published: (2022)
by: Amalulhair, N. H., et al.
Published: (2022)
Some solutions of diophantine equation x3+y3=pk z3
by: See, Kok Leong
Published: (2011)
by: See, Kok Leong
Published: (2011)
On the solvability of general cubic equations over Z(P)*
by: Saburov, Mansoor, et al.
Published: (2017)
by: Saburov, Mansoor, et al.
Published: (2017)
On the Diophantine Equation 5 x + p mn y = z 2
by: Bakar, H. S., et al.
Published: (2019)
by: Bakar, H. S., et al.
Published: (2019)
Solvability of cubic equations over Q3
by: Saburov, Mansoor, et al.
Published: (2015)
by: Saburov, Mansoor, et al.
Published: (2015)
On the diophantine equation x²+2ª .zb= y³n
by: Amalul Hair, Nur Hidayah
Published: (2020)
by: Amalul Hair, Nur Hidayah
Published: (2020)
On the Diophantine equation
by: Zahari, N. M., et al.
Published: (2012)
by: Zahari, N. M., et al.
Published: (2012)
On solvability of some boundary value problems for the non-local polyharmonic equation with boundary operators of the hadamard type
by: Turmetov, Batirkhan, et al.
Published: (2019)
by: Turmetov, Batirkhan, et al.
Published: (2019)
New Parallel Group Accelerated Overrelaxation Algorithms For The Solution Of 2-D Poisson And Diffusion Equations
by: Foo, Kai Pin
Published: (2011)
by: Foo, Kai Pin
Published: (2011)
The Fourier Spectral Method For The Sivashinsky
Equation.
by: Abdur Rashid, Abdur Rashid, et al.
Published: (2008)
by: Abdur Rashid, Abdur Rashid, et al.
Published: (2008)
On The Diophantine Equation:Jesmanowicz Conjecture And Selected Special Cases
by: Ahmed Balfaqih, Abdulrahman Hamed
Published: (2020)
by: Ahmed Balfaqih, Abdulrahman Hamed
Published: (2020)
Solutions Of The Frobenius Class Equation In Alternating Groups
by: Kholil, Shuker Mahmood
Published: (2012)
by: Kholil, Shuker Mahmood
Published: (2012)
The solvability criterion of cubic equations over p-adic field
by: Mukhamedov, Farrukh, et al.
Published: (2012)
by: Mukhamedov, Farrukh, et al.
Published: (2012)
Solvability of cubic equations in p-adic integers (p > 3)
by: Mukhamedov, Farrukh, et al.
Published: (2013)
by: Mukhamedov, Farrukh, et al.
Published: (2013)
Approximate Analytical Methods For Ordinary Differential Equations Of Fractional Order
by: Alkresheh, Hytham Awad Hamad
Published: (2017)
by: Alkresheh, Hytham Awad Hamad
Published: (2017)
Laplace Transform With Modified Analytical Approximate Methods For Fractional Differential Equations
by: Jaber, Hailat Ibrahim Yousef
Published: (2022)
by: Jaber, Hailat Ibrahim Yousef
Published: (2022)
The Coefficients Of Functions With Positive Real Part And Some Special Classes Of Univalent Functions.
by: M. Ali, Rosihan
Published: (2003)
by: M. Ali, Rosihan
Published: (2003)
Generalized and Improved (G'/G)-Expansion Method for Nonlinear Evolution Equations
by: Ali Akbar, M., et al.
Published: (2012)
by: Ali Akbar, M., et al.
Published: (2012)
MAT 122E- Differential Equations I (April/May 2006)
by: PPSM, Pusat Pengajian Sains Matematik
Published: (2006)
by: PPSM, Pusat Pengajian Sains Matematik
Published: (2006)
Preconditioned explicit decoupled group methods for solving elliptic partial differential equations.
by: Ahmed, Abdulkafi Mohammed Saeed
Published: (2011)
by: Ahmed, Abdulkafi Mohammed Saeed
Published: (2011)
A Third-Order Differential Equation and Starlikeness of a Double Integral Operator
by: M. Ali, Rosihan, et al.
Published: (2011)
by: M. Ali, Rosihan, et al.
Published: (2011)
B-Splines Based Finite Difference Schemes For Fractional Partial Differential Equations
by: Akram, Tayyaba
Published: (2020)
by: Akram, Tayyaba
Published: (2020)
On The Theory Of Diophantine Approximations.
by: Haili, Hailiza Kamarul, et al.
Published: (2005)
by: Haili, Hailiza Kamarul, et al.
Published: (2005)
On the integral solutions of the diophantine equation x4 + y4 = z3
by: Ismail, S., et al.
Published: (2013)
by: Ismail, S., et al.
Published: (2013)
Gaussian integer solutions of the Diophantine equation x⁴ + y⁴ = z³ for x‰ y
by: Ismail, Shahrina, et al.
Published: (2023)
by: Ismail, Shahrina, et al.
Published: (2023)
Some Extensions Of Log Aesthetic Curves And Its Acceleration Using General Processing Unit (GPU)
by: Teh, Yee Meng
Published: (2022)
by: Teh, Yee Meng
Published: (2022)
An Improved Training Method For Wavelet Neural Networks For Solving Ordinary And Partial Differential Equations
by: Tan, Lee Sen
Published: (2022)
by: Tan, Lee Sen
Published: (2022)
Crank-Nicolson finite difference method for two-dimensional
fractional sub-diffusion equation
by: Ali, Umair, et al.
Published: (2017)
by: Ali, Umair, et al.
Published: (2017)
The Numerical and Approximate Analytical Solution of
Parabolic Partial Differential Equations with Nonlocal
Boundary Conditions
by: Ghoreishi, Seyed Mohammad
Published: (2011)
by: Ghoreishi, Seyed Mohammad
Published: (2011)
An algorithm for positive solution of boundary value problems
of nonlinear fractional differential equations by Adomian
decomposition method
by: A. I., Md. Ismail, et al.
Published: (2016)
by: A. I., Md. Ismail, et al.
Published: (2016)
Application of Hybrid Cubic B-Spline Collocation Approach for Solving a Generalized Nonlinear Klien-Gordon Equation
by: Zin, Shazalina Mat, et al.
Published: (2014)
by: Zin, Shazalina Mat, et al.
Published: (2014)
Solvability and number of roots of bi-quadratic equations over p−adic fields
by: Saburov, Mansoor, et al.
Published: (2016)
by: Saburov, Mansoor, et al.
Published: (2016)
Execution of novel explicit RKARMS(4,4) technique in determining initial configurations of extra-solar protoplanets formed by disk instability
by: Paul, Gour Chandra, et al.
Published: (2016)
by: Paul, Gour Chandra, et al.
Published: (2016)
The numerical solution of the non-uniquely solvable Riemann problem using a Fredholm integral equation
by: Murid, Ali Hassan Mohamed, et al.
Published: (2004)
by: Murid, Ali Hassan Mohamed, et al.
Published: (2004)
On the solvability of a mixed problem for partial differential equations of parabolic type with involution
by: Turmetov, B., et al.
Published: (2021)
by: Turmetov, B., et al.
Published: (2021)
On the exponential diophantine equations of degree three
by: Amalul Hair, Nur Hidayah, et al.
Published: (2019)
by: Amalul Hair, Nur Hidayah, et al.
Published: (2019)
Similar Items
-
Solvability criteria for cubic equations over Z2
by: Saburov, Mansoor, et al.
Published: (2014) -
Solvability criteria for cubic equations over Z_2^*
by: Saburov, Mansoor, et al.
Published: (2013) -
On the diophantine equation p ͯ +qᵐnᵞ = z²
by: Bakar, Halimatun Saadiah
Published: (2018) -
On the diophantine equation Px + Qy = z²
by: Japar, Izzati Izyani, et al.
Published: (2024) -
Bound on some Diophantine equation
by: Amalulhair, N. H., et al.
Published: (2022)